diff --git a/bloom/bloom.go b/bloom/bloom.go
index 4a8a208..4bf9697 100644
--- a/bloom/bloom.go
+++ b/bloom/bloom.go
@@ -1,92 +1,113 @@
 package bloom
 
 import (
-	"github.com/bits-and-blooms/bitset"
-	"github.com/charlienet/go-mixed/locker"
+	"math"
+
+	"github.com/charlienet/go-mixed/bytesconv"
+	"github.com/charlienet/go-mixed/expr"
+	"github.com/charlienet/go-mixed/hash"
+	"github.com/go-redis/redis/v8"
 )
 
 const DEFAULT_SIZE = 2 << 24
 
 var seeds = []uint{7, 11, 13, 31, 37, 61}
 
-type simplehash struct {
-	cap  uint
-	seed uint
+type bitStore interface {
+	Clear()
+	Set(pos ...uint) error
+	Test(pos ...uint) (bool, error)
 }
 
 type BloomFilter struct {
-	size  int            // 布隆过滤器大小
-	set   *bitset.BitSet // 位图
-	funcs [6]simplehash  // 哈希函数
-	lock  locker.RWLocker
+	bits  uint     // 布隆过滤器大小
+	funcs uint     // 哈希函数数量
+	store bitStore // 位图存储
 }
 
 type bloomOptions struct {
-	Size int
+	redisClient *redis.Client
+	redisKey    string
 }
 
 type option func(*bloomOptions)
 
-// 布隆过滤器中所有位长度，请根据存储数量进行评估
-func WithSize(size int) option {
+func WithRedis(redis *redis.Client, key string) option {
 	return func(bo *bloomOptions) {
-		bo.Size = size
+		bo.redisClient = redis
+		bo.redisKey = key
 	}
 }
 
-func NewBloomFilter(opts ...option) *BloomFilter {
-	opt := &bloomOptions{
-		Size: DEFAULT_SIZE,
-	}
+// 初始化布隆过滤器
+// https://pages.cs.wisc.edu/~cao/papers/summary-cache/node8.html
+func NewBloomFilter(expectedInsertions uint, fpp float64, opts ...option) *BloomFilter {
+	opt := &bloomOptions{}
 
 	for _, f := range opts {
 		f(opt)
 	}
 
+	bits := optimalNumOfBits(expectedInsertions, fpp)
+	k := optimalNumOfHashFunctions(bits, expectedInsertions)
+
 	bf := &BloomFilter{
-		size: opt.Size,
-		lock: locker.NewRWLocker(),
+		bits:  bits,
+		funcs: k,
+		store: expr.If[bitStore](
+			opt.redisClient == nil,
+			newMemStore(bits),
+			newRedisStore(opt.redisClient, opt.redisKey, bits)),
 	}
 
-	for i := 0; i < len(bf.funcs); i++ {
-		bf.funcs[i] = simplehash{uint(opt.Size), seeds[i]}
-	}
-	bf.set = bitset.New(uint(opt.Size))
 	return bf
 }
 
-func (bf *BloomFilter) Add(value string) {
-	funcs := bf.funcs[:]
-
-	for _, f := range funcs {
-		bf.set.Set(f.hash(value))
-	}
-
+func (bf *BloomFilter) Add(data string) {
+	offsets := bf.geOffsets([]byte(data))
+	bf.store.Set(offsets...)
 }
 
-func (bf *BloomFilter) Contains(value string) bool {
-	if value == "" {
-		return false
-	}
-	ret := true
+func (bf *BloomFilter) ExistString(data string) (bool, error) {
+	return bf.Exists(bytesconv.StringToBytes(data))
+}
 
-	funcs := bf.funcs[:]
-	for _, f := range funcs {
-		ret = ret && bf.set.Test(f.hash(value))
+func (bf *BloomFilter) Exists(data []byte) (bool, error) {
+	if data == nil || len(data) == 0 {
+		return false, nil
 	}
 
-	return ret
+	offsets := bf.geOffsets(data)
+	isSet, err := bf.store.Test(offsets...)
+	if err != nil {
+		return false, err
+	}
+
+	return isSet, nil
+}
+
+func (bf *BloomFilter) geOffsets(data []byte) []uint {
+	offsets := make([]uint, bf.funcs)
+	for i := uint(0); i < bf.funcs; i++ {
+		offsets[i] = uint(hash.Murmur3(append(data, byte(i))) % uint64(bf.bits))
+	}
+
+	return offsets
 }
 
 // 清空布隆过滤器
 func (bf *BloomFilter) Clear() {
-	bf.set.ClearAll()
+	bf.store.Clear()
 }
 
-func (s simplehash) hash(value string) uint {
-	var result uint = 0
-	for i := 0; i < len(value); i++ {
-		result = result*s.seed + uint(value[i])
-	}
-	return (s.cap - 1) & result
+// 计算优化的位图长度，
+// n 期望放置元素数量，
+// p 预期的误判概率
+func optimalNumOfBits(n uint, p float64) uint {
+	return (uint)(-float64(n) * math.Log(p) / (math.Log(2) * math.Log(2)))
+}
+
+// 计算哈希函数数量
+func optimalNumOfHashFunctions(m, n uint) uint {
+	return uint(math.Round(float64(m) / float64(n) * math.Log(2)))
 }
diff --git a/bloom/boom_test.go b/bloom/boom_test.go
index 6033be4..9ca1dd4 100644
--- a/bloom/boom_test.go
+++ b/bloom/boom_test.go
@@ -2,17 +2,21 @@ package bloom_test
 
 import (
 	"fmt"
+	"math"
 	"strconv"
 	"testing"
 
 	"github.com/charlienet/go-mixed/bloom"
 	"github.com/charlienet/go-mixed/rand"
 	"github.com/charlienet/go-mixed/sys"
+	"github.com/go-redis/redis/v8"
 	"github.com/stretchr/testify/assert"
 )
 
+const ()
+
 func TestBloom(t *testing.T) {
-	b := bloom.NewBloomFilter()
+	b := bloom.NewBloomFilter(1000, 0.03)
 
 	for i := 0; i < 1000000; i++ {
 		b.Add(strconv.Itoa(i))
@@ -20,51 +24,94 @@ func TestBloom(t *testing.T) {
 
 	v := "6943553521463296-1635402930"
 
-	t.Log(b.Contains(v))
+	t.Log(b.ExistString(v))
 	b.Add(v)
-	t.Log(b.Contains(v))
+	t.Log(b.ExistString(v))
 
-	fmt.Println("过滤器中包含值:", b.Contains(strconv.Itoa(9999)))
-	fmt.Println("过滤器中未包含:", b.Contains("ss"))
+	isSet, err := b.ExistString(strconv.Itoa(9999))
+	fmt.Println("过滤器中包含值:", isSet, err)
+
+	isSet, err = b.ExistString("ss")
+	fmt.Println("过滤器中未包含:", isSet, err)
 
 	t.Log(sys.ShowMemUsage())
 }
 
-func TestSize(t *testing.T) {
-	bloom.NewBloomFilter(bloom.WithSize(1 << 2))
+func TestOptimize(t *testing.T) {
+
+	expectedInsertions := 1000000 // 期望存储数据量
+	falseProbability := 0.00002   // 预期误差
+	bits := uint(float64(-expectedInsertions) * math.Log(falseProbability) / (math.Log(2) * math.Log(2)))
+	hashSize := uint(math.Round(float64(bits) / float64(expectedInsertions) * math.Log(2)))
+
+	t.Log(bits)
+	t.Log(hashSize)
+}
+
+func TestRedis(t *testing.T) {
+	client := redis.NewClient(&redis.Options{
+		Addr:     "192.168.2.222:6379",
+		Password: "123456",
+	})
+
+	bf := bloom.NewBloomFilter(10000, 0.03, bloom.WithRedis(client, "bloom:test"))
+
+	for i := 0; i < 100; i++ {
+		bf.Add(strconv.Itoa(i))
+	}
+
+	for i := 0; i < 100; i++ {
+		isSet, err := bf.ExistString(strconv.Itoa(i))
+		if err != nil {
+			t.Fatal(err)
+		}
+
+		if !isSet {
+			t.Log(i, isSet)
+		}
+	}
+
+	for i := 101; i < 200; i++ {
+		isSet, err := bf.ExistString(strconv.Itoa(i))
+		t.Log(isSet, err)
+	}
 }
 
 func TestClear(t *testing.T) {
-	bf := bloom.NewBloomFilter()
+	bf := bloom.NewBloomFilter(1000, 0.03)
 
 	v := "abc"
 	bf.Add(v)
-	assert.True(t, bf.Contains(v))
+	isSet, _ := bf.ExistString(v)
+	assert.True(t, isSet)
 
 	bf.Clear()
-	assert.False(t, bf.Contains(v))
+	isSet, _ = bf.ExistString(v)
+	assert.False(t, isSet)
 }
 
 func TestParallel(t *testing.T) {
-	f := bloom.NewBloomFilter()
+	f := bloom.NewBloomFilter(1000, 0.03)
 
 	for i := 0; i < 10000; i++ {
 		v := rand.Hex.Generate(10)
 
 		f.Add(v)
-		assert.True(t, f.Contains(v))
+		isSet, _ := f.ExistString(v)
+
+		assert.True(t, isSet)
 	}
 }
 
 func BenchmarkFilter(b *testing.B) {
-	f := bloom.NewBloomFilter()
+	f := bloom.NewBloomFilter(1000, 0.03)
 
 	b.RunParallel(func(p *testing.PB) {
 		for p.Next() {
 			v := rand.Hex.Generate(10)
 			f.Add(v)
 
-			f.Contains(v)
+			f.ExistString(v)
 
 			// assert.True(b, f.Contains(v))
 
diff --git a/bloom/mem_store.go b/bloom/mem_store.go
new file mode 100644
index 0000000..30ac8b5
--- /dev/null
+++ b/bloom/mem_store.go
@@ -0,0 +1,37 @@
+package bloom
+
+import "github.com/bits-and-blooms/bitset"
+
+type memStore struct {
+	size uint
+	set  *bitset.BitSet // 内存位图
+}
+
+func newMemStore(size uint) *memStore {
+	return &memStore{
+		size: size,
+		set:  bitset.New(size),
+	}
+}
+
+func (s *memStore) Clear() {
+	s.set.ClearAll()
+}
+
+func (s *memStore) Set(offsets ...uint) error {
+	for _, p := range offsets {
+		s.set.Set(p)
+	}
+
+	return nil
+}
+
+func (s *memStore) Test(offsets ...uint) (bool, error) {
+	for _, p := range offsets {
+		if !s.set.Test(p) {
+			return false, nil
+		}
+	}
+
+	return true, nil
+}
diff --git a/bloom/redis_store.go b/bloom/redis_store.go
new file mode 100644
index 0000000..c7019df
--- /dev/null
+++ b/bloom/redis_store.go
@@ -0,0 +1,116 @@
+package bloom
+
+import (
+	"context"
+	"errors"
+	"strconv"
+	"time"
+
+	"github.com/go-redis/redis/v8"
+)
+
+const (
+	// ARGV:偏移量offset数组
+	// KYES[1]: setbit操作的key
+	// 全部设置为1
+	setScript = `
+		for _, offset in ipairs(ARGV) do
+			redis.call("setbit", KEYS[1], offset, 1)
+		end
+    `
+
+	//ARGV:偏移量offset数组
+	//KYES[1]: setbit操作的key
+	//检查是否全部为1
+	testScript = `
+	for _, offset in ipairs(ARGV) do
+		if tonumber(redis.call("getbit", KEYS[1], offset)) == 0 then
+			return false
+		end
+	end
+	return true
+    `
+)
+
+var ErrTooLargeOffset = errors.New("超出最大偏移量")
+
+var _ bitStore = &redisBitSet{}
+
+// 使用Redis存储位图
+type redisBitSet struct {
+	store *redis.Client
+	key   string
+	bits  uint
+}
+
+func newRedisStore(store *redis.Client, key string, bits uint) *redisBitSet {
+	return &redisBitSet{
+		store: store,
+		key:   key,
+		bits:  bits,
+	}
+}
+
+func (s *redisBitSet) Set(offsets ...uint) error {
+	args, err := s.buildOffsetArgs(offsets)
+	if err != nil {
+		return err
+	}
+
+	ctx, cancel := context.WithTimeout(context.Background(), time.Millisecond*500)
+	defer cancel()
+
+	_, err = s.store.Eval(ctx, setScript, []string{s.key}, args).Result()
+
+	//底层使用的是go-redis,redis.Nil表示操作的key不存在
+	//需要针对key不存在的情况特殊判断
+	if err == redis.Nil {
+		return nil
+	} else if err != nil {
+		return err
+	}
+
+	return nil
+}
+
+func (s *redisBitSet) Test(offsets ...uint) (bool, error) {
+	args, err := s.buildOffsetArgs(offsets)
+	if err != nil {
+		return false, err
+	}
+
+	ctx, cancel := context.WithTimeout(context.Background(), time.Millisecond*500)
+	defer cancel()
+
+	resp, err := s.store.Eval(ctx, testScript, []string{s.key}, args).Result()
+
+	// key 不存在，表示还未存放任何数据
+	if err == redis.Nil {
+		return false, nil
+	} else if err != nil {
+		return false, err
+	}
+
+	exists, ok := resp.(int64)
+	if !ok {
+		return false, nil
+	}
+
+	return exists == 1, nil
+}
+
+func (s *redisBitSet) Clear() {
+
+}
+
+func (r *redisBitSet) buildOffsetArgs(offsets []uint) ([]string, error) {
+	args := make([]string, 0, len(offsets))
+	for _, offset := range offsets {
+		if offset >= r.bits {
+			return nil, ErrTooLargeOffset
+		}
+
+		args = append(args, strconv.FormatUint(uint64(offset), 10))
+	}
+	return args, nil
+}
diff --git a/bloom/redis_store_test.go b/bloom/redis_store_test.go
new file mode 100644
index 0000000..834f943
--- /dev/null
+++ b/bloom/redis_store_test.go
@@ -0,0 +1,24 @@
+package bloom
+
+import (
+	"testing"
+
+	"github.com/go-redis/redis/v8"
+)
+
+func TestRedisStore(t *testing.T) {
+	client := redis.NewClient(&redis.Options{
+		Addr:     "192.168.2.222:6379",
+		Password: "123456",
+	})
+
+	store := newRedisStore(client, "abcdef", 10000)
+	err := store.Set(1, 2, 3, 9, 1223)
+	if err != nil {
+		t.Fatal(err)
+	}
+
+	t.Log(store.Test(1))
+	t.Log(store.Test(1, 2, 3))
+	t.Log(store.Test(4, 5, 8))
+}
diff --git a/dateconv/duration_test.go b/dateconv/duration_test.go
index 770bbc1..2cad87a 100644
--- a/dateconv/duration_test.go
+++ b/dateconv/duration_test.go
@@ -2,9 +2,23 @@ package dateconv
 
 import (
 	"testing"
+	"time"
 )
 
 func TestParseDuration(t *testing.T) {
 	t.Log(ParseDuration(""))
 	t.Log(ParseDuration("abc"))
 }
+
+func TestMonth(t *testing.T) {
+	month := time.Now()
+
+	offset := (int(month.Month()) - 3)
+	t.Log(offset)
+
+	month = month.AddDate(0, -3, 1)
+	t.Log(month)
+
+	tt := time.Date(month.Year(), month.Month(), 1, 0, 0, 0, 0, month.Location())
+	t.Log(tt)
+}
diff --git a/go.mod b/go.mod
index 7eac09b..d2ee6a9 100644
--- a/go.mod
+++ b/go.mod
@@ -3,7 +3,7 @@ module github.com/charlienet/go-mixed
 go 1.18
 
 require (
-	github.com/bits-and-blooms/bitset v1.3.0
+	github.com/bits-and-blooms/bitset v1.3.3
 	github.com/cespare/xxhash/v2 v2.1.2
 	github.com/go-playground/universal-translator v0.18.0
 	github.com/json-iterator/go v1.1.12
@@ -31,7 +31,7 @@ require (
 require (
 	github.com/allegro/bigcache/v3 v3.0.2
 	github.com/antonfisher/nested-logrus-formatter v1.3.1
-	github.com/coocood/freecache v1.2.1
+	github.com/coocood/freecache v1.2.2
 	github.com/dlclark/regexp2 v1.7.0
 	github.com/go-redis/redis/v8 v8.11.5
 	github.com/lestrrat/go-file-rotatelogs v0.0.0-20180223000712-d3151e2a480f
diff --git a/go.sum b/go.sum
index fd86190..543a289 100644
--- a/go.sum
+++ b/go.sum
@@ -55,6 +55,8 @@ github.com/google/go-cmp v0.4.0/go.mod h1:v8dTdLbMG2kIc/vJvl+f65V22dbkXbowE6jgT/
 github.com/google/gofuzz v1.0.0/go.mod h1:dBl0BpW6vV/+mYPU4Po3pmUjxk6FQPldtuIdl/M65Eg=
 github.com/jehiah/go-strftime v0.0.0-20171201141054-1d33003b3869 h1:IPJ3dvxmJ4uczJe5YQdrYB16oTJlGSC/OyZDqUk9xX4=
 github.com/jehiah/go-strftime v0.0.0-20171201141054-1d33003b3869/go.mod h1:cJ6Cj7dQo+O6GJNiMx+Pa94qKj+TG8ONdKHgMNIyyag=
+github.com/jinzhu/now v1.1.5 h1:/o9tlHleP7gOFmsnYNz3RGnqzefHA47wQpKrrdTIwXQ=
+github.com/jinzhu/now v1.1.5/go.mod h1:d3SSVoowX0Lcu0IBviAWJpolVfI5UJVZZ7cO71lE/z8=
 github.com/jonboulle/clockwork v0.3.0 h1:9BSCMi8C+0qdApAp4auwX0RkLGUjs956h0EkuQymUhg=
 github.com/jonboulle/clockwork v0.3.0/go.mod h1:Pkfl5aHPm1nk2H9h0bjmnJD/BcgbGXUBGnn1kMkgxc8=
 github.com/json-iterator/go v1.1.12 h1:PV8peI4a0ysnczrg+LtxykD8LfKY9ML6u2jnxaEnrnM=